577120128 has 96 divisors (see below), whose sum is σ = 1660154040. Its totient is φ = 177555456.

The previous prime is 577120121. The next prime is 577120139. The reversal of 577120128 is 821021775.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60450 + ... + 69342.

Almost surely, 2^577120128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830077020).

577120128 is an abundant number, since it is smaller than the sum of its proper divisors (1083033912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

577120128 is a wasteful number, since it uses less digits than its factorization.

577120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936 (or 8911 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 577120128 is about 24023.3246658326. The cubic root of 577120128 is about 832.5725226074.

The spelling of 577120128 in words is "five hundred seventy-seven million, one hundred twenty thousand, one hundred twenty-eight".